TSTP Solution File: SWV631-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV631-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:39:43 EDT 2022
% Result : Unknown 0.70s 0.93s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.18 % Problem : SWV631-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.18 % Command : sos-script %s
% 0.14/0.40 % Computer : n029.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 600
% 0.14/0.40 % DateTime : Wed Jun 15 02:36:56 EDT 2022
% 0.14/0.40 % CPUTime :
% 0.38/0.61 ----- Otter 3.2, August 2001 -----
% 0.38/0.61 The process was started by sandbox2 on n029.cluster.edu,
% 0.38/0.61 Wed Jun 15 02:36:56 2022
% 0.38/0.61 The command was "./sos". The process ID is 9583.
% 0.38/0.61
% 0.38/0.61 set(prolog_style_variables).
% 0.38/0.61 set(auto).
% 0.38/0.61 dependent: set(auto1).
% 0.38/0.61 dependent: set(process_input).
% 0.38/0.61 dependent: clear(print_kept).
% 0.38/0.61 dependent: clear(print_new_demod).
% 0.38/0.61 dependent: clear(print_back_demod).
% 0.38/0.61 dependent: clear(print_back_sub).
% 0.38/0.61 dependent: set(control_memory).
% 0.38/0.61 dependent: assign(max_mem, 12000).
% 0.38/0.61 dependent: assign(pick_given_ratio, 4).
% 0.38/0.61 dependent: assign(stats_level, 1).
% 0.38/0.61 dependent: assign(pick_semantic_ratio, 3).
% 0.38/0.61 dependent: assign(sos_limit, 5000).
% 0.38/0.61 dependent: assign(max_weight, 60).
% 0.38/0.61 clear(print_given).
% 0.38/0.61
% 0.38/0.61 list(usable).
% 0.38/0.61
% 0.38/0.61 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.38/0.61
% 0.38/0.61 This ia a non-Horn set with equality. The strategy will be
% 0.38/0.61 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.38/0.61 unit deletion, with positive clauses in sos and nonpositive
% 0.38/0.61 clauses in usable.
% 0.38/0.61
% 0.38/0.61 dependent: set(knuth_bendix).
% 0.38/0.61 dependent: set(para_from).
% 0.38/0.61 dependent: set(para_into).
% 0.38/0.61 dependent: clear(para_from_right).
% 0.38/0.61 dependent: clear(para_into_right).
% 0.38/0.61 dependent: set(para_from_vars).
% 0.38/0.61 dependent: set(eq_units_both_ways).
% 0.38/0.61 dependent: set(dynamic_demod_all).
% 0.38/0.61 dependent: set(dynamic_demod).
% 0.38/0.61 dependent: set(order_eq).
% 0.38/0.61 dependent: set(back_demod).
% 0.38/0.61 dependent: set(lrpo).
% 0.38/0.61 dependent: set(hyper_res).
% 0.38/0.61 dependent: set(unit_deletion).
% 0.38/0.61 dependent: set(factor).
% 0.38/0.61
% 0.38/0.61 ------------> process usable:
% 0.38/0.61 Following clause subsumed by 2 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.38/0.61 Following clause subsumed by 25 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.61 Following clause subsumed by 52 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.61 Following clause subsumed by 93 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.38/0.61 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.38/0.61 Following clause subsumed by 138 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(B,C,A),C,A),c_Divides_Odiv__class_Omod(B,C,A),A)=B.
% 0.38/0.61 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.38/0.61 Following clause subsumed by 142 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 150 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,C,A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.61 Following clause subsumed by 168 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.38/0.61 Following clause subsumed by 168 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.38/0.61 Following clause subsumed by 171 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.38/0.61 Following clause subsumed by 172 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.38/0.61 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.38/0.61 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|B=A| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat).
% 0.38/0.61 Following clause subsumed by 181 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,A,tc_nat)|B=A.
% 0.38/0.61 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 179 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.38/0.61 Following clause subsumed by 180 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.38/0.61 Following clause subsumed by 188 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 0.38/0.61 Following clause subsumed by 188 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.61 Following clause subsumed by 188 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.61 Following clause subsumed by 169 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 0.38/0.61 Following clause subsumed by 168 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 0.38/0.61 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.61 Following clause subsumed by 170 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.38/0.61 Following clause subsumed by 288 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 0.38/0.61 Following clause subsumed by 290 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 0.38/0.61 Following clause subsumed by 311 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.38/0.61 Following clause subsumed by 313 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.38/0.61 Following clause subsumed by 312 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.38/0.61 Following clause subsumed by 312 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.38/0.61 Following clause subsumed by 313 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.38/0.61 Following clause subsumed by 311 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(B,A,tc_nat),tc_nat).
% 0.38/0.61 Following clause subsumed by 323 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.61 Following clause subsumed by 322 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.61 Following clause subsumed by 341 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.61 Following clause subsumed by 356 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 0.38/0.61 Following clause subsumed by 357 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,C,A),A).
% 0.38/0.61 Following clause subsumed by 363 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.61 Following clause subsumed by 365 during input processing: 0 [] {-} c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint)!=c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint)|A=B.
% 0.38/0.61 Following clause subsumed by 48 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(A),B,A),A).
% 0.38/0.61 Following clause subsumed by 214 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.38/0.61 Following clause subsumed by 380 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 0.38/0.61 Following clause subsumed by 381 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Divides_Odiv__class_Omod(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 0.38/0.61 Following clause subsumed by 388 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.38/0.61 Following clause subsumed by 389 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.38/0.61 Following clause subsumed by 399 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.61 Following clause subsumed by 408 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.38/0.61 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.61 Following clause subsumed by 306 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 305 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.38/0.62 Following clause subsumed by 419 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 0.38/0.62 Following clause subsumed by 429 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 0.38/0.62 Following clause subsumed by 452 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lessequals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(B,C,A).
% 0.38/0.62 Following clause subsumed by 455 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)!=c_HOL_Oplus__class_Oplus(A,C,tc_nat)|B=C.
% 0.38/0.62 Following clause subsumed by 464 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.62 Following clause subsumed by 465 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.62 Following clause subsumed by 465 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.38/0.62 Following clause subsumed by 302 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.38/0.62 Following clause subsumed by 91 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,D,A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.38/0.62 Following clause subsumed by 95 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.38/0.62 Following clause subsumed by 215 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 214 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 218 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.38/0.62 Following clause subsumed by 176 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.38/0.62 Following clause subsumed by 303 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A).
% 0.38/0.62 Following clause subsumed by 304 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.38/0.62 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 308 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.38/0.62 Following clause subsumed by 510 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.38/0.62 Following clause subsumed by 519 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 0.38/0.62 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 305 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 532 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.38/0.62 Following clause subsumed by 537 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 0.38/0.62 Following clause subsumed by 89 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.38/0.62 Following clause subsumed by 550 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.38/0.62 Following clause subsumed by 550 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 0.38/0.62 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.38/0.62 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.38/0.62 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.38/0.62 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.38/0.62 Following clause subsumed by 566 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.62 Following clause subsumed by 566 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.62 Following clause subsumed by 131 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,c_Divides_Odiv__class_Omod(C,D,A),A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.38/0.62 Following clause subsumed by 132 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(B,C,A),D,A).
% 0.38/0.62 Following clause subsumed by 47 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.38/0.62 Following clause subsumed by 108 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)| -c_lessequals(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.62 Following clause subsumed by 397 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.38/0.62 Following clause subsumed by 215 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.38/0.62 Following clause subsumed by 303 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.38/0.62 Following clause subsumed by 304 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.38/0.62 Following clause subsumed by 306 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.38/0.62 Following clause subsumed by 646 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 0.38/0.62 Following clause subsumed by 664 during input processing: 0 [] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)!=c_HOL_Otimes__class_Otimes(A,C,tc_nat)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.62 Following clause subsumed by 683 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.38/0.62 Following clause subsumed by 689 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.62 Following clause subsumed by 701 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 0.38/0.62 Following clause subsumed by 702 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 0.38/0.62 Following clause subsumed by 706 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.62 Following clause subsumed by 88 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.62 Following clause subsumed by 65 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(C),A,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(C),B,tc_nat),tc_nat).
% 0.38/0.62 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.62 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 93 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 95 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 91 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 727 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.62 Following clause subsumed by 409 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(B,D,A),C,A),D,A)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 0.38/0.62 Following clause subsumed by 489 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(B,C,tc_Int_Oint),A)=c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.38/0.62 Following clause subsumed by 356 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 358 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 357 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.38/0.62 Following clause subsumed by 359 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Otimes__class_Otimes(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.38/0.62 Following clause subsumed by 188 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.62 Following clause subsumed by 757 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.38/0.62 Following clause subsumed by 752 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.38/0.62 Following clause subsumed by 753 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.38/0.62 Following clause subsumed by 307 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.38/0.62 Following clause subsumed by 308 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.38/0.63 Following clause subsumed by 310 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.38/0.63 Following clause subsumed by 767 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A)=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.63 Following clause subsumed by 40 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A)=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.38/0.63 Following clause subsumed by 780 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,D,tc_nat),tc_nat)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,D,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)|B=D|A=C.
% 0.38/0.63 Following clause subsumed by 781 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 0.38/0.63 Following clause subsumed by 671 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(C,A),D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Oinverse__class_Odivide(B,D,A),A).
% 0.38/0.63 Following clause subsumed by 751 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.38/0.63 Following clause subsumed by 786 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat).
% 0.38/0.63 Following clause subsumed by 188 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),C,A),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 309 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.38/0.63 Following clause subsumed by 543 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.63 Following clause subsumed by 796 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 800 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 801 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 798 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.38/0.63 Following clause subsumed by 830 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 0.38/0.63 Following clause subsumed by 833 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 0.38/0.63 Following clause subsumed by 834 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.38/0.63 Following clause subsumed by 833 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.38/0.63 Following clause subsumed by 65 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.38/0.63 Following clause subsumed by 838 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 0.38/0.63 Following clause subsumed by 838 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.38/0.63 Following clause subsumed by 839 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.38/0.63 Following clause subsumed by 582 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),c_HOL_Ozero__class_Ozero(A),A).
% 0.40/0.63 Following clause subsumed by 846 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.40/0.63 Following clause subsumed by 852 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),B,A)=B.
% 0.40/0.63 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.63 Following clause subsumed by 868 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.40/0.63 Following clause subsumed by 868 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.40/0.63 Following clause subsumed by 868 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 0.40/0.63 Following clause subsumed by 875 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.40/0.63 Following clause subsumed by 877 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.40/0.63 Following clause subsumed by 878 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.40/0.63 Following clause subsumed by 879 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 0.40/0.63 Following clause subsumed by 880 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 0.40/0.63 Following clause subsumed by 176 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.40/0.63 Following clause subsumed by 176 during input processing: 0 [] {-} -c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat).
% 0.40/0.63 Following clause subsumed by 900 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.40/0.63 Following clause subsumed by 399 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.40/0.63 Following clause subsumed by 399 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.40/0.63 Following clause subsumed by 933 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.40/0.63 Following clause subsumed by 934 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 769 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.63 Following clause subsumed by 942 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(C,A,tc_nat),c_HOL_Otimes__class_Otimes(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 0.40/0.63 Following clause subsumed by 620 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.40/0.63 Following clause subsumed by 414 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A).
% 0.40/0.63 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.63 Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.63 Following clause subsumed by 474 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.63 Following clause subsumed by 475 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.63 Following clause subsumed by 284 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.40/0.63 Following clause subsumed by 532 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(B,c_Suc(C),A)=c_HOL_Otimes__class_Otimes(B,c_Power_Opower__class_Opower(B,C,A),A).
% 0.40/0.63 Following clause subsumed by 900 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.40/0.63 Following clause subsumed by 944 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.63 Following clause subsumed by 968 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Oinverse(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.40/0.63 Following clause subsumed by 408 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.63 Following clause subsumed by 978 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A).
% 0.40/0.63 Following clause subsumed by 979 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,C,A),c_Power_Opower__class_Opower(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),B,A).
% 0.40/0.63 Following clause subsumed by 982 during input processing: 0 [] {-} c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 983 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 984 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 985 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 901 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_Int_OPls,c_Int_OPls,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 990 during input processing: 0 [] {-} c_lessequals(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 991 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 992 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 993 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 994 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 995 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 996 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 997 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit0(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.40/0.63 Following clause subsumed by 223 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),A),c_Power_Opower__class_Opower(C,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),A),A).
% 0.40/0.63 Following clause subsumed by 855 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),D,A),C,A).
% 0.40/0.64 Following clause subsumed by 856 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 0.40/0.64 Following clause subsumed by 857 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(D,C,A),A).
% 0.40/0.64 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A).
% 0.40/0.64 Following clause subsumed by 482 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A).
% 0.40/0.64 Following clause subsumed by 1058 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.40/0.64 Following clause subsumed by 1057 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.40/0.64 Following clause subsumed by 481 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),A).
% 0.40/0.64 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(D,A),C,A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.40/0.64 Following clause subsumed by 858 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)| -c_lessequals(B,c_HOL_Otimes__class_Otimes(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.40/0.64 Following clause subsumed by 855 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(c_HOL_Otimes__class_Otimes(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.40/0.64 Following clause subsumed by 479 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A),A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.40/0.64 Following clause subsumed by 163 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,tc_nat),A),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.40/0.64 Following clause subsumed by 706 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.64 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.40/0.64 Following clause subsumed by 1095 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.40/0.64 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.40/0.64 Following clause subsumed by 1095 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A)|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Power_Opower__class_Opower(B,C,A),A).
% 0.40/0.64 Following clause subsumed by 713 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(B,A),c_Int_Onumber__class_Onumber__of(C,tc_nat),A)=c_Power_Opower__class_Opower(B,c_Int_Onumber__class_Onumber__of(C,tc_nat),A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.40/0.64 Following clause subsumed by 769 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.40/0.64 Following clause subsumed by 176 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(C,A,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.40/0.64 Following clause subsumed by 176 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(A,B,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_nat)| -c_Ring__and__Field_Odvd__class_Odvd(A,C,tc_nat).
% 0.40/0.64 Following clause subsumed by 1114 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.40/0.64 Following clause subsumed by 1118 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.40/0.64 Following clause subsumed by 1134 during input processing: 0 [] {-} c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint)| -c_lessequals(A,B,tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1135 during input processing: 0 [] {-} c_lessequals(A,B,tc_Int_Oint)| -c_lessequals(c_Int_OBit0(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1137 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint)| -c_HOL_Oord__class_Oless(A,B,tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1138 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_Int_Oint)| -c_HOL_Oord__class_Oless(c_Int_OBit1(A),c_Int_OBit0(B),tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1161 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|c_Power_Opower__class_Opower(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),A)=c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.40/0.67 Following clause subsumed by 1168 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),A),A)=B.
% 0.40/0.67 Following clause subsumed by 1175 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.40/0.67 95 back subsumes 92.
% 0.40/0.67 96 back subsumes 94.
% 0.40/0.67 117 back subsumes 116.
% 0.40/0.67 176 back subsumes 175.
% 0.40/0.67 188 back subsumes 52.
% 0.40/0.67 356 back subsumes 119.
% 0.40/0.67 357 back subsumes 264.
% 0.40/0.67 358 back subsumes 120.
% 0.40/0.67 359 back subsumes 265.
% 0.40/0.67 388 back subsumes 258.
% 0.40/0.67 389 back subsumes 257.
% 0.40/0.67 396 back subsumes 157.
% 0.40/0.67 408 back subsumes 276.
% 0.40/0.67 481 back subsumes 164.
% 0.40/0.67 482 back subsumes 122.
% 0.40/0.67 483 back subsumes 165.
% 0.40/0.67 483 back subsumes 121.
% 0.40/0.67 565 back subsumes 564.
% 0.40/0.67 584 back subsumes 473.
% 0.40/0.67 610 back subsumes 366.
% 0.40/0.67 667 back subsumes 494.
% 0.40/0.67 667 back subsumes 411.
% 0.40/0.67 668 back subsumes 495.
% 0.40/0.67 668 back subsumes 410.
% 0.40/0.67 669 back subsumes 640.
% 0.40/0.67 669 back subsumes 638.
% 0.40/0.67 670 back subsumes 639.
% 0.40/0.67 670 back subsumes 527.
% 0.40/0.67 671 back subsumes 496.
% 0.40/0.67 683 back subsumes 508.
% 0.40/0.67 705 back subsumes 451.
% 0.40/0.67 733 back subsumes 355.
% 0.40/0.67 751 back subsumes 497.
% 0.40/0.67 752 back subsumes 641.
% 0.40/0.67 753 back subsumes 526.
% 0.40/0.67 769 back subsumes 222.
% 0.40/0.67 796 back subsumes 767.
% 0.40/0.67 856 back subsumes 41.
% 0.40/0.67 857 back subsumes 42.
% 0.40/0.67 858 back subsumes 59.
% 0.40/0.67 859 back subsumes 58.
% 0.40/0.67 859 back subsumes 43.
% 0.40/0.67 860 back subsumes 57.
% 0.40/0.67 860 back subsumes 44.
% 0.40/0.67 910 back subsumes 909.
% 0.40/0.67 938 back subsumes 714.
% 0.40/0.67 951 back subsumes 950.
% 0.40/0.67 1051 back subsumes 631.
% 0.40/0.67 1051 back subsumes 541.
% 0.40/0.67 1052 back subsumes 632.
% 0.40/0.67 1052 back subsumes 542.
% 0.40/0.67 1053 back subsumes 793.
% 0.40/0.67 1053 back subsumes 633.
% 0.40/0.67 1054 back subsumes 792.
% 0.40/0.67 1054 back subsumes 634.
% 0.40/0.67 1095 back subsumes 367.
% 0.40/0.67 Following clause subsumed by 1183 during input processing: 0 [copy,1178,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.40/0.67 Following clause subsumed by 1178 during input processing: 0 [copy,1183,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.40/0.67 1245 back subsumes 1244.
% 0.40/0.67
% 0.40/0.67 ------------> process sos:
% 0.40/0.67 Following clause subsumed by 1390 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.40/0.67 Following clause subsumed by 1405 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.40/0.67 Following clause subsumed by 1392 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.40/0.67 Following clause subsumed by 1426 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.40/0.67 Following clause subsumed by 1426 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1390 during input processing: 0 [unit_del,900] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.40/0.67 Following clause subsumed by 1434 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(c_HOL_Oplus__class_Oplus(A,B,tc_nat)),tc_nat).
% 0.40/0.67 Following clause subsumed by 1456 during input processing: 0 [] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1467 during input processing: 0 [demod,1453,1453] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1485 during input processing: 0 [demod,1453] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1392 during input processing: 0 [] {-} c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1494 during input processing: 0 [demod,1453,1497,1453,1497,1439,1453,1497] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.67 Following clause subsumed by 1494 during input processing: 0 [demod,1453,1497,1453,1497,1497] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.67 Following clause subsumed by 1444 during input processing: 0 [demod,1519] {-} c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(A,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(B,tc_Int_Oint),tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1421 during input processing: 0 [] {-} c_HOL_Oeq__class_Oeq(c_Int_OPls,c_Int_OPls,tc_Int_Oint).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1580,1414,1534,1580] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1453,1453,1453,1580,1465,1465] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1453,1525,1529,1453,1525] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1534,1592] {-} A=A.
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1623,1554,1414,1534,1623] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1623] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1623,1465,1453,1453] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1633,1643,1402,1439,1439] {-} c_HOL_Oplus__class_Oplus(A,A,tc_nat)=c_HOL_Oplus__class_Oplus(A,A,tc_nat).
% 0.40/0.67 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1633,1643,1404,1437,1437] {-} c_HOL_Oplus__class_Oplus(A,A,tc_nat)=c_HOL_Oplus__class_Oplus(A,A,tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [demod,1645] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [demod,1577] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [demod,1577] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1542] {-} c_Int_OPls=c_Int_OPls.
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [demod,1554,1542] {-} c_Int_OPls=c_Int_OPls.
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [] {-} A=A.
% 0.40/0.68 Following clause subsumed by 1467 during input processing: 0 [copy,1440,flip.1,demod,1453,1453,1465] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1444,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint).
% 0.40/0.68 Following clause subsumed by 1482 during input processing: 0 [copy,1455,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat).
% 0.40/0.68 Following clause subsumed by 1482 during input processing: 0 [copy,1456,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Otimes__class_Otimes(A,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,C,tc_nat),c_HOL_Otimes__class_Otimes(A,B,tc_nat),tc_nat).
% 0.40/0.68 Following clause subsumed by 1461 during input processing: 0 [copy,1461,flip.1] {-} c_HOL_Otimes__class_Otimes(A,B,tc_nat)=c_HOL_Otimes__class_Otimes(B,A,tc_nat).
% 0.40/0.68 Following clause subsumed by 1466 during input processing: 0 [copy,1466,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_Int_Oint),tc_Int_Oint).
% 0.40/0.68 Following clause subsumed by 1467 during input processing: 0 [copy,1467,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,C,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,C,tc_nat),tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1476,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(A,B,tc_nat),tc_nat).
% 0.40/0.68 Following clause subsumed by 1482 during input processing: 0 [copy,1482,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_nat)=c_HOL_Oplus__class_Oplus(B,A,tc_nat).
% 0.40/0.68 1482 back subsumes 1456.
% 0.40/0.68 1482 back subsumes 1455.
% 0.40/0.68 Following clause subsumed by 1483 during input processing: 0 [copy,1483,flip.1] {-} c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint)=c_HOL_Oplus__class_Oplus(B,A,tc_Int_Oint).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1487,flip.1] {-} c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_nat),D,tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(A,B,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_nat),D,tc_nat),tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1494,flip.1] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1506,flip.1,demod,1645,1645] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.40/0.68 Following clause subsumed by 1527 during input processing: 0 [copy,1527,flip.1] {-} A=A.
% 0.40/0.68 1527 back subsumes 1506.
% 0.40/0.68 1527 back subsumes 1494.
% 0.40/0.68 1527 back subsumes 1487.
% 0.40/0.68 1527 back subsumes 1476.
% 0.40/0.68 1527 back subsumes 1444.
% 0.40/0.68 1527 back subsumes 1360.
% 0.40/0.68 1527 back subsumes 1317.
% 0.40/0.69 1527 back subsumes 1223.
% 0.40/0.69 1527 back subsumes 1222.
% 0.40/0.69 1527 back subsumes 1221.
% 0.40/0.69 1527 back subsumes 1220.
% 0.40/0.69 1527 back subsumes 1219.
% 0.40/0.69 1527 back subsumes 1218.
% 0.40/0.69 1527 back subsumes 1209.
% 0.40/0.69 1527 back subsumes 1208.
% 0.40/0.69 1527 back subsumes 1207.
% 0.40/0.69 1588 back subsumes 1536.
% 0.40/0.69 Following clause subsumed by 1527 during input processing: 0 [copy,1781,flip.1,demod,2012,2012] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.40/0.69 Following clause subsumed by 1527 during input processing: 0 [copy,1782,flip.1,demod,2014,2014] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.40/0.69 Following clause subsumed by 1889 during input processing: 0 [copy,1888,flip.1] {-} c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_Int_Osucc(B),c_HOL_Oplus__class_Oplus(A,c_Int_Osucc(B),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).
% 0.40/0.69 Following clause subsumed by 1888 during input processing: 0 [copy,1889,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_Int_Osucc(B),c_HOL_Oplus__class_Oplus(A,c_Int_Osucc(B),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.69 Following clause subsumed by 1898 during input processing: 0 [copy,1896,flip.1] {-} c_Int_OBit1(A)!=c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint).
% 0.40/0.69 Following clause subsumed by 1896 during input processing: 0 [copy,1898,flip.1] {-} c_HOL_Oplus__class_Oplus(A,A,tc_Int_Oint)!=c_Int_OBit1(B).
% 0.40/0.69 1941 back subsumes 1904.
% 0.40/0.69 1957 back subsumes 1940.
% 0.40/0.69 Following clause subsumed by 1584 during input processing: 0 [copy,1994,flip.1] {-} c_Divides_Odiv__class_Odiv(A,c_HOL_Otimes__class_Otimes(B,C,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.40/0.69 Following clause subsumed by 2005 during input processing: 0 [copy,1995,flip.1] {-} c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat).
% 0.40/0.69 Following clause subsumed by 1612 during input processing: 0 [copy,1996,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(A,c_Int_OBit1(B),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(c_Int_OBit1(A),c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint).
% 0.40/0.69 Following clause subsumed by 1625 during input processing: 0 [copy,1999,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_Divides_Odiv__class_Odiv(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat).
% 0.40/0.69 Following clause subsumed by 1630 during input processing: 0 [copy,2000,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)=c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),tc_nat).
% 0.40/0.69 2003 back subsumes 1789.
% 0.40/0.69 2003 back subsumes 1261.
% 0.40/0.69 Following clause subsumed by 1995 during input processing: 0 [copy,2005,flip.1] {-} c_Int_Onumber__class_Onumber__of(c_Int_OPls,tc_nat)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(A,B,tc_nat),A,tc_nat).
% 0.40/0.69 2019 back subsumes 2004.
% 0.40/0.69 Following clause subsumed by 2103 during input processing: 0 [copy,2101,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,tc_nat).
% 0.40/0.69 Following clause subsumed by 2101 during input processing: 0 [copy,2103,flip.1] {-} c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),A,tc_nat),B,tc_nat)=c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat),B,tc_nat).
% 0.40/0.69 Following clause subsumed by 1892 during input processing: 0 [copy,2118,flip.1] {-} c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(A,B,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint)=c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(A,c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint),tc_Int_Oint).
% 0.40/0.69 Following clause subsumed by 1893 during input processing: 0 [copy,2119,flip.1] {-} c_HOL_Ominus__class_Ominus(c_Int_OBit1(c_Int_Opred(A)),c_HOL_Oplus__class_Oplus(B,B,tc_Int_Oint),tc_Int_Oint)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(A,A,tc_Int_Oint),c_Int_OBit1(B),tc_Int_Oint).
% 0.40/0.69
% 0.40/0.69 ======= end of input processing =======
% 0.70/0.93
% 0.70/0.93
% 0.70/0.93
% 0.70/0.93 Aborting on detection of an error:
% 0.70/0.93
% 0.70/0.93 Too many clauses (whew!).
% 0.70/0.93
%------------------------------------------------------------------------------